Search a number
-
+
4077857741 is a prime number
BaseRepresentation
bin1111001100001111…
…0010101111001101
3101112012012122012012
43303003302233031
531322412421431
61512350351005
7203024135036
oct36303625715
911465178165
104077857741
111802931971
129597bb465
134ccab1999
142a981da8d
1518d00422b
hexf30f2bcd

4077857741 has 2 divisors, whose sum is σ = 4077857742. Its totient is φ = 4077857740.

The previous prime is 4077857723. The next prime is 4077857759. The reversal of 4077857741 is 1477587704.

4077857741 = 451542 + 451552.

It is a balanced prime because it is at equal distance from previous prime (4077857723) and next prime (4077857759).

It can be written as a sum of positive squares in only one way, i.e., 2038974025 + 2038883716 = 45155^2 + 45154^2 .

It is a cyclic number.

It is not a de Polignac number, because 4077857741 - 218 = 4077595597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4077857741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4077857941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2038928870 + 2038928871.

It is an arithmetic number, because the mean of its divisors is an integer number (2038928871).

Almost surely, 24077857741 is an apocalyptic number.

4077857741 is the 45155-th centered square number.

It is an amenable number.

4077857741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4077857741 is an equidigital number, since it uses as much as digits as its factorization.

4077857741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536640, while the sum is 50.

The square root of 4077857741 is about 63858.1063060909. The cubic root of 4077857741 is about 1597.6342303756.

The spelling of 4077857741 in words is "four billion, seventy-seven million, eight hundred fifty-seven thousand, seven hundred forty-one".